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" To construct a parallelogram equivalent to a given square, and having the difference of its base and altitude equal to a given line. "
An Elementary Treatise on Plane and Solid Geometry - Page 90
by Benjamin Peirce - 1837 - 159 pages
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Elements of Geometry: With Practical Applications, for the Use of Schools

Timothy Walker - Geometry - 1829 - 129 pages
...FjFB=AB, that is the sum of the base and altitude is equal to the given line. 111. PROBLEM. — To make a parallelogram equivalent to a given square, and...difference of its base and altitude equal to a given line. Let the side of the given square be equal to AD (fig. 74) and let the F 74 given line be A B. SOL....
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Elements of Geometry: With Practical Applications, for the Use of Schools

Timothy Walker - Geometry - 1829 - 129 pages
...Secondly A F+FB=A B, that is the sum of the base and altitude is equal to the given line. 111. — To make a parallelogram equivalent to a given square, and...the difference of its base and altitude equal to a giren line — . Let the side of the given square be equal to AD (fig. 74) and let the given line be...
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An Elementary Treatise on Plane and Solid Geometry

Benjamin Peirce - Geometry - 1847 - 150 pages
...polygon. That is, by 280, the circle of which R is the radius is equal to the given polygon. 297. Problem. To construct a parallelogram, equivalent to a given square, and having the sum of its base and altitude equal to a given line. Solution. Upon the given line AB (fig. 138) as...
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An Elementary Treatise on Plane and Solid Geometry

Benjamin Peirce - Geometry - 1865 - 150 pages
...are the required base and altitude. Proof. For J1E + EB = JIB, and by 290, AE X EB = DE* = J1C*. 298. Problem. To construct a parallelogram, equivalent...equal to a given line. Solution. Upon the given line JIB (fig. 139) as a diameter describe a circle. At Jl draw the tangent AC equal to the side of the...
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Harvard Examination Papers

1873 - 164 pages
...(State and prove.) 6. To circumscribe a circle about a given regular polygon. (Solve and prove.) 8. To construct a parallelogram equivalent to a given square and having the sum of its base and altitude equal to a given line. (Solve and prove.) VIII. 1. Prove that only one...
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 398 pages
...means is equal to the product of the extremes). QEF GEOMETRY. BOOK IV. PROPOSITION XXVI. PROBLEM. 359. To construct, a parallelogram equivalent to a given...difference of its base and altitude equal to a given line. S --B Let R be the given square, and let the difference of the base and altitude of the required parallelogram...
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 398 pages
...square equivalent to the sum of a given triangle and a given parallelogram. 4. Construct a rectangle having the difference of its base and altitude equal to a given line, and its area equivalent to the sum of a given triangle and a given pentagon. 5. Given a hexagon ; to...
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 398 pages
...triangle, and then constructing a square equivalent to the triangle. PROPOSITION XXV. PROBLEM. 357. To construct a parallelogram equivalent to a given square, and having the sum of its base and altitude equal to a given line. РГ-&-- --4Q I'— -N Let R be the given square,...
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Elements of Geometry

George Albert Wentworth - 1881
...constructing a square equivalent to the triangle. 1 Л h 7 n R ; ! / l LJ PROPOSITION XXV. PROBLEM. 357. To construct a parallelogram equivalent to a given square, and having the sum of its base and altitude equal to a given line. p SfL .7.VX л i/ i \ *4- -J* Let R be the given...
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A Text-book of Geometry

George Albert Wentworth - Geometry - 1888 - 386 pages
...proportional between the segments of the diameter). • Then SC = MCx CN. QEF PROPOSITION XXI. PROBLEM. 393. To construct a parallelogram equivalent to a given...difference of its base and altitude equal to a given line, s B Let R be the given square, and let the difference of the base and altitude of the required parallelogram...
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